9600958080 has 1536 divisors, whose sum is σ = 45209664000. Its totient is φ = 1907490816.

The previous prime is 9600958067. The next prime is 9600958117. The reversal of 9600958080 is 808590069.

9600958080 is a `hidden beast` number, since 9 + 60 + 0 + 9 + 580 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 331067506 + ... + 331067534.

It is an arithmetic number, because the mean of its divisors is an integer number (29433375).

Almost surely, 2^9600958080 is an apocalyptic number.

9600958080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9600958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22604832000).

9600958080 is an abundant number, since it is smaller than the sum of its proper divisors (35608705920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9600958080 is a wasteful number, since it uses less digits than its factorization.

9600958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 9600958080 is about 97984.4787708747. The cubic root of 9600958080 is about 2125.3878382301.

The spelling of 9600958080 in words is "nine billion, six hundred million, nine hundred fifty-eight thousand, eighty".